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On Spectral Clustering: Analysis and an algorithm

On Spectral clustering : Analysis and an algorithm Andrew Y. Ng CS Division Berkeley Michael I. Jordan CS Div. & Dept. of Stat. Berkeley Abstract Yair Weiss School of CS & Engr. The Hebrew Univ. Despite many empirical successes of Spectral clustering methods-algorithms that cluster points using eigenvectors of matrices de-rived from the data-there are several unresolved issues. First, there are a wide variety of algorithms that use the eigenvectors in slightly different ways. Second, many of these algorithms have no proof that they will actually compute a reasonable clustering . In this paper, we present a simple Spectral clustering algorithm that can be implemented using a few lines of Matlab.

Form the affinity matrix A E Rnxn defined by Aij = exp(-Ilsi - sjW/2(2 ) if i # j , and Aii = O. 2. Define D to be the diagonal matrix whose (i, i)-element is the sum of A's i-th row, and construct the matrix L = D-l/ 2AD-l/ 2 .1 3. Find Xl ...

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  Sili, Spectral, Clustering, Spectral clustering

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